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4.6 Practice A In Exercises 1-4, identify the number of solutions or zeros. 1. x4 + 3x3 - 4x2 + 2x = 0 2. 3y3+ 12 - 3=0 3. 895 - 493 + 79 = 0 4. 676 + 3r4 - 7p2 = 0 In Exercises 5-8, find all zeros of the polynomial function. 5. f (x ) = x4 - 5x2 - 36 6. f(x) = x4+x3-7x2 - x+6 7. 8(x) = x4 -x3+9x2 -9x 8. h(x ) = x4 - 11x2 + 18 In Exercises 9 and 10, determine the number of imaginary zeros for the function with the given degree and graph. Explain your reasoning. 9. Degree: 5 10. Degree: 4 TYx - 8 8 x 8 x In Exercises 11-13, write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. 11. -4, 1, 2 12. 2, 3, -1 13. 2 , V3 14. Write a polynomial function of degree 5 with zeros -1, 2, and i. Justify your answer. In Exercises 15-17, determine the possible numbers of positive real zeros, negative real zeros, and imaginary zeros for the function. 15. g(x) = x- 2x2 - 3x +1 16. g(x) =x4+ x2 - 10 17. g(x) = x - 2x* + x2 - 3x - 2